The number 33273
33273 is a composite number with 6 divisors. Its prime factorisation is × 3697. Divisors (6): 1, 3, 9, 3697, 11091, 33273.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
33273 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33273 is composite. Its prime factorisation is
- 3
The divisors add up to 48074; without 33273 itself that is 14801, so 33273 is deficient (14801 is less than 33273). Euler's totient φ(33273) = 22176 numbers up to 33273 share no factor with it.
- 4
The digits of 33273 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 98 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33273 = 3^{2} \times 3697 \]33273 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 48074 |
| Euler totient φ(n) | 22176 |
| Square | 1107092529 |
| Cube | 36836289717417 |
| Square root | 182.408881 (= 3√3697) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 98 |
| Scientific notation | 3.3273 × |
33273 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand two hundred and seventy-three |
| Binary (base 2) | 1000000111111001 |
| Octal (base 8) | 100771 |
| Hexadecimal (base 16) | 81F9 |
| Base 3 | 1200122100 |
| As time | 33273 seconds = 9 h 14 min 33 s |
Is 33273 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (33273 ÷ 3 = 11091) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (33273 ÷ 9 = 3697) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33273 a prime number?
No. 33273 = × 3697, so it is divisible by 3.
What are the factors of 33273?
1, 3, 9, 3697, 11091, 33273.
What is 33273 in binary?
1000000111111001 (hexadecimal 81F9, octal 100771).
What is the square root of 33273?
About 182.4089, exactly 3√3697.
Is 33273 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 33273?
It is a composite number with 6 divisors.